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18 Aug 2023, 17:47
Kudos
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
38% (01:52) correct
63%
(01:36)
wrong
based on 16
sessions
History
Date
Time
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Not Attempted Yet
If n = 0.abc, is n greater than 2/3?
(1) a + b > 14
(2) a + c > 15
(1) a + b > 14
(2) a + c > 15
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
19 Aug 2023, 00:20
Kudos
Bookmarks
Hyeyoung
Few points to take note of before we jump into the solution
- a, b, and c are integers
- The value of each is between 0 and 9, both inclusive.
Question: is n greater than 2/3
Inference:
\(\frac{2}{3} = 0.6666...\)
n will be greater than 2/3 if any of the below criteria are met -
- \(a > 6\)
- \(a = 6\) and \(b >6\)
Hence, if we can prove sufficiency for any one of the above-mentioned criteria, the statement is sufficient.
Statement 1
(1) a+b > 14
The maximum value of \(b = 9\)
- \(b = 9\) ; \(a_{min} = 6\) → Satisfies criteria 2
- \(b < 9 ; a > 6\) → Satisfies criteria 1
Hence, in every scenario the value of \(n >\frac{ 2}{3}\)
The statement alone is sufficient.
Statement 2
(2) a+c > 15
The maximum value of \(c = 9\)
- \(c = 9\) ; \(a > 6 \) → Satisfies criteria 1
- If the value of \(c\) is less than \(9\), the value of \(a\) should be greater than 6 to keep the sum above \(15\)
Hence, in every scenario the value of \(n >\frac{ 2}{3}\)
The statement alone is sufficient.
Option D
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